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Finding the Fourth Proportional to 523,328,978.40, 722,198,833.56 and 288,388,046.76

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Solution

The fourth proportional to 523,328,978.40, 722,198,833.56 and 288,388,046.76 is: 397,978,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,328,978.40 : 722,198,833.56 = 288,388,046.76 : x
  2. Step 2: Convert to fraction form
    523,328,978.40/722,198,833.56 = 288,388,046.76/x
  3. Step 3: Cross multiply
    523,328,978.40x = 722,198,833.56 × 288,388,046.76
  4. Step 4: Simplify right side
    523,328,978.40x = 208,273,510,982,718,720
  5. Step 5: Solve for x
    x = 208,273,510,982,718,720/523,328,978.40
  6. Step 6: Final answer
    x = 397,978,173.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.